3675980000 has 540 divisors, whose sum is σ = 11936254176. Its totient is φ = 1108800000.

The previous prime is 3675979963. The next prime is 3675980003. The reversal of 3675980000 is 895763.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3675980003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 118579985 + ... + 118580015.

Almost surely, 2^3675980000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3675980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5968127088).

3675980000 is an abundant number, since it is smaller than the sum of its proper divisors (8260274176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3675980000 is a wasteful number, since it uses less digits than its factorization.

3675980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 3675980000 is about 60629.8606298909. The cubic root of 3675980000 is about 1543.3261442421.

The spelling of 3675980000 in words is "three billion, six hundred seventy-five million, nine hundred eighty thousand".